Positivity of Szegö's rational function

DOI10.1016/j.aam.2007.10.001zbMath1147.42011OpenAlexW2082259075MaRDI QIDQ931842

Armin Straub

Publication date: 26 June 2008

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2007.10.001

zbMATH Keywords

power seriespositivity theory

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Moment problems and interpolation problems in the complex plane (30E05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (7)

Power series with positive coefficients arising from the characteristic polynomials of positive matrices ⋮ Diagonal asymptotics for symmetric rational functions via ACSV ⋮ Positivity problem of three-term recurrence sequences ⋮ Effective coefficient asymptotics of multivariate rational functions via semi-numerical algorithms for polynomial systems ⋮ Complete monotonicity for inverse powers of some combinatorially defined polynomials ⋮ The signs of three-term recurrence sequences ⋮ Positivity of rational functions and their diagonals

Cites Work

• Unnamed Item
• Weighted permutation problems and Laguerre polynomials
• Über gewisse Potenzreihen mit lauter positiven Koeffizienten
• On Elementary Methods in Positivity Theory
• Certain Rational Functions Whose Power Series Have Positive Coefficients. II
• A Combinatorial Approach to Some Positivity Problems
• A combinatorial proof of a positivity result
• Certain Rational Functions Whose Power Series Have Positive Coefficients

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